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Finding the Fourth Proportional to 808.23, 1,210.76 and 533.48

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Solution

The fourth proportional to 808.23, 1,210.76 and 533.48 is: 799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.23 : 1,210.76 = 533.48 : x
  2. Step 2: Convert to fraction form
    808.23/1,210.76 = 533.48/x
  3. Step 3: Cross multiply
    808.23x = 1,210.76 × 533.48
  4. Step 4: Simplify right side
    808.23x = 645,913.58
  5. Step 5: Solve for x
    x = 645,913.58/808.23
  6. Step 6: Final answer
    x = 799.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.